# Triangle calculator ASA

Please enter the side of the triangle and two adjacent angles
°
°

### Right scalene triangle.

Sides: a = 0.28880177225   b = 0.85502671395   c = 0.8

Area: T = 0.1155207089
Perimeter: p = 1.93882848619
Semiperimeter: s = 0.9699142431

Angle ∠ A = α = 19.8° = 19°48' = 0.34655751919 rad
Angle ∠ B = β = 90° = 1.57107963268 rad
Angle ∠ C = γ = 70.2° = 70°12' = 1.22552211349 rad

Height: ha = 0.8
Height: hb = 0.27109903362
Height: hc = 0.28880177225

Median: ma = 0.81328582608
Median: mb = 0.42551335697
Median: mc = 0.49329038532

Inradius: r = 0.11988752915
Circumradius: R = 0.42551335697

Vertex coordinates: A[0.8; 0] B[0; 0] C[0; 0.28880177225]
Centroid: CG[0.26766666667; 0.09660059075]
Coordinates of the circumscribed circle: U[0.4; 0.14440088612]
Coordinates of the inscribed circle: I[0.11988752915; 0.11988752915]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 160.2° = 160°12' = 0.34655751919 rad
∠ B' = β' = 90° = 1.57107963268 rad
∠ C' = γ' = 109.8° = 109°48' = 1.22552211349 rad

# How did we calculate this triangle?

### 1. Calculate the third unknown inner angle ### 2. By using the law of sines, we calculate unknown side a ### 3. By using the law of sines, we calculate last unknown side b Now we know the lengths of all three sides of the triangle and the triangle is uniquely determined. Next we calculate another its characteristics - same procedure as calculation of the triangle from the known three sides SSS. ### 4. The triangle circumference is the sum of the lengths of its three sides ### 5. Semiperimeter of the triangle ### 6. The triangle area using Heron's formula ### 7. Calculate the heights of the triangle from its area. ### 8. Calculation of the inner angles of the triangle using a Law of Cosines    